10121110100211 has 32 divisors (see below), whose sum is σ = 15229565521920. Its totient is φ = 5922368524800.

The previous prime is 10121110100131. The next prime is 10121110100279. The reversal of 10121110100211 is 11200101112101.

It is not a de Polignac number, because 10121110100211 - 2¹⁵ = 10121110067443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121110100281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73383726 + ... + 73521516.

It is an arithmetic number, because the mean of its divisors is an integer number (475923922560).

Almost surely, 2^{10121110100211} is an apocalyptic number.

10121110100211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121110100211 is a deficient number, since it is larger than the sum of its proper divisors (5108455421709).

10121110100211 is a wasteful number, since it uses less digits than its factorization.

10121110100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214587.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10121110100211 its reverse (11200101112101), we get a palindrome (21321211212312).

The spelling of 10121110100211 in words is "ten trillion, one hundred twenty-one billion, one hundred ten million, one hundred thousand, two hundred eleven".